Combinatorial theory is one of the fastest growing areas of modern mathematics. Focusing on a major part of this subject, Introduction to Combinatorial Designs, Second Edition provides a solid foundation in the classical areas of design theory as well as in more contemporary designs based on applications in a variety of fields.
After an o
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"The style of this book is very friendly to the reader and the book is obviously well equipped to serve its main purpose, i.e. the exposition of the main kinds of combinatorial designs to undergraduates."
-EMS Newsletter, 2008
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ISBN-13
978-1-58488-839-0 (9781584888390)
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Schweitzer Klassifikation
Basic Concepts. Balanced Designs. Finite Geometries. Some Properties of Finite Geometries. Difference Sets and Difference Methods. More about Block Designs. The Main Existence Theorem. Latin Squares. More about Orthogonality. One-Factorizations. Applications of One-Factorizations. Steiner Triple Systems. Kirkman Triple Systems and Generalizations. Hadamard Matrices. Room Squares. Further Applications of Design Theory. References. Answers and Solutions. Index.